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Finding the Fourth Proportional to 331,342.75, 497,014.13 and 82,024.75

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Solution

The fourth proportional to 331,342.75, 497,014.13 and 82,024.75 is: 123,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,342.75 : 497,014.13 = 82,024.75 : x
  2. Step 2: Convert to fraction form
    331,342.75/497,014.13 = 82,024.75/x
  3. Step 3: Cross multiply
    331,342.75x = 497,014.13 × 82,024.75
  4. Step 4: Simplify right side
    331,342.75x = 40,767,459,759.72
  5. Step 5: Solve for x
    x = 40,767,459,759.72/331,342.75
  6. Step 6: Final answer
    x = 123,037.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.